OSP_q（1，4）量子代数的有限维表示

The Finite-Dimensional Representation of the Quantum Algebra OSP_q(1,4)

本文对ＯＳＰ_ｑ（１，４）量子李超代数的有限维表示进行了讨论，得出该代数表示为有限维的必要条件是ｑ的取值为单位根，即ｑ~Ｎ＝１，并具体给出了ＯＳＰ_ｑ（１，４）代数的一个四维不可约表示。

The finite-dimensional representation of the quantum algebra OSP_q(1,4) is discussed.The requirement for this is given that q must be a root of unity. Particularly a four-dimensional representation of the algebra is given.